1. Rotating spiral waves in a nonlinear optical system with spatial interactions
- Author
-
M. Le Berre, E. Ressayre, A. Tallet, and N.I. Zheleznykh
- Subjects
Physics ,Nonlinear optical ,Classical mechanics ,General Mathematics ,Applied Mathematics ,Dispersion relation ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Curvature ,Rotation ,Spiral ,Eigenvalues and eigenvectors - Abstract
The formation of multi-petals and multi-spirals is analysed with the help of a generalized dispersion relation, taking advantage of the invariance of the rotation frequency of a pattern. It results in an eigenvalue problem, which allows us to predict the rotation frequency and the radial curvature of the pattern, in good agreement with exact calculations: A stationary pattern is predicted to look like petals, while a uniform rotating pattern is predicted to have some curvature, leading to a spiral shape.
- Published
- 1994